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Convexity of integral operators generated by some new inequalities of hyper-Bessel functions
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In this article, we deduced some new inequalities related to hyper-Bessel function. By using these inequalities we will find some sufficient conditions under which certain families of integral operators are convex in the open unit disc. Some applications related to these results are also the part of our investigation.
Abstract
In this article, we deduced some new inequalities related to hyper-Bessel function. By using these inequalities we will find some sufficient conditions under which certain families of integral operators are convex in the open unit disc. Some applications related to these results are also the part of our investigation.
참고문헌 (6)
- Baricz, "Generalized Bessel Functions of the First Kind, Lecture Notes in Mathematics, 1994" (2010), Springer-Verlag
- H. Chaggara, "On the zeros of the hyper-Bessel function", Integral Transforms and Special Functions, 26(2), pp.96~101 (2014), Informa UK Limited[DOI]
- E. Deniz, "Some sucient conditions for univalence of certain families of integral operators involving generalized Bessel functions", Taiwanese J. Math, 15(2), pp.883~917 (2011)[DOI]
- M. U. Din, "Sucient conditions for univalence of integral oper-ators involving Dini Functions", ~
- M. U. Din, "Univalence of certain integral operators involving generalized Struve functions", Hacet. J. Math. Stat, 47(4), pp.821~833 (2018)
- G. N. Watson, "A Treatise on the Theory of Bessel Functions" (1944), Cambridge University Press
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